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Finding the Third Proportional to 566.75 and 623.75

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Solution

The third proportional to 566.75 and 623.75 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 623.75 = 623.75 : x
  2. Step 2: Convert to fraction form
    566.75/623.75 = 623.75/x
  3. Step 3: Cross multiply
    566.75x = 623.75 × 623.75
  4. Step 4: Simplify right side
    566.75x = 389,064.06
  5. Step 5: Solve for x
    x = 389,064.06/566.75
  6. Step 6: Final answer
    x = 686.48

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.